UNCERTAINTY OF POISSON WAVELETS

DOI10.2206/kyushujm.71.349zbMath1390.42048arXiv1804.03045OpenAlexW3100141999MaRDI QIDQ4642754

Ilona Iglewska-Nowak

Publication date: 25 May 2018

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.03045

zbMATH Keywords

asymptotic behavioruncertainty principlePoisson kernelspherical waveletsuncertainty productPoisson waveletsGegenbauer expansionmultidimensional unit spherevariance in momentum spacevariance in space domain

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (5)

Uncertainty product of the spherical Gauss–Weierstrass wavelet ⋮ On the uncertainty product of spherical functions ⋮ ON THE UNCERTAINTY PRODUCT OF SPHERICAL WAVELETS ⋮ Uncertainty product of the spherical Abel–Poisson wavelet ⋮ Spin weighted wavelets on the sphere -- frames

Cites Work

• Semi-continuous and discrete wavelet frames on \(n\)-dimensional spheres
• Combined spherical harmonic and wavelet expansion -- a future concept in earth's gravitational determination
• Constructive approximation and numerical methods in geodetic research today -- an attempt at a categorization based on an uncertainty principle
• An uncertainty principle for ultraspherical expansions
• Poisson wavelets on \(n\)-dimensional spheres
• Frames of Poisson wavelets on the sphere
• Poisson wavelets on the sphere
• Continuous wavelet transforms on \(n\)-dimensional spheres
• MULTIRESOLUTION ON <b><i>n</i></b>-DIMENSIONAL SPHERES
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